Quantitative Aptitude Ques 301

Question: Directions: What will come in place of question mark (?) in the following questions?

$ (0.064)\times {{(0.4)}^{7}}={{(0.4)}^{?}}\times {{(0.0256)}^{2}} $

Options:

A) 17

B) 2

C) 18

D) 3

E) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

  • $ (0.064)\times {{(0.4)}^{7}}={{(0.4)}^{?}}\times {{(0.0256)}^{2}} $

$ \Rightarrow $ $ {{(0.4)}^{3}}\times {{(0.4)}^{7}}={{(0.4)}^{?}}\times {{(0.4)}^{4\times 2}} $

$ \Rightarrow $ $ {{(0.4)}^{3+7}}={{(0.4)}^{?}}\times {{(0.4)}^{8}} $

$ \Rightarrow $ $ \frac{{{(0.4)}^{10}}}{{{(0.4)}^{8}}}={{(0.4)}^{?}} $

$ \Rightarrow $ $ {{(0.4)}^{10-8}}={{(0.4)}^{?}} $
$ \Rightarrow $ $ {{(0.4)}^{2}}={{(0.4)}^{?}} $

$ \therefore $ $ ?=2 $

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